Thermodynamics of the Bardeen black hole in anti-de Sitter space

Abstract

In this article we study thermodynamics of the regular black holes with Bardeen-AdS black hole. The cut-off radius which is the minimal radius of the stable Bardeen-AdS black hole have been got from temperature and heat capacity analysis respectively. Moreover, the thermodynamical stability of the Bardeen-AdS black hole is learned by the Gibbs free energy and the heat capacity. In this work we find the similar characteristics to the Van der Waals liquid-gas system.

Stability of gravastars with exterior regular black holes

“…Fernando [24] studied the Bardeen BH in de Sitter and anti-de Sitter spacetimes. Recently, Li et al [25] examined thermodynamical stability of Bardeen BH through heat capacity as well as Gibbs free energy and also discussed thermodynamics of Bardeen-AdS BH.…”

Thermodynamics and P-v criticality of Bardeen-AdS Black Hole in 4-D Einstein-Gauss-Bonnet Gravity

“…It has been shown recently that Bardeen-AdS black hole belong to the universality class of RN-AdS Black hole and P-v isotherms are similar to a van-der Waals fluid [22]. The thermodynamics and inversion curves in the Joule-Thompson throttling process are also studied and lend support for the identification of black hole interior with a van-der Waals fluid [23][24][25][26]. The Bardeen black hole solutions are also studied in de-Sitter space [27,28].…”

Bardeen Black Holes in the Regularized $4D$ Einstein--Gauss--Bonnet Gravity

“…Discussions of Bardeen's solution on issues of quasinormal modes, stability [30] and the thermodynamics have been carried out [31][32][33][34][35][36][37]. Also, several extensions of the Bardeen black hole have been considered, which includes Bardeen de Sitter [38,39], Bardeen anti-de Sitter [40], Bardeen's solution to non-commutative inspired geometry [35] and also in higher dimensional spacetimes [31]. Recently, Bardeen black hole solutions have also been found and discussed in the EGB gravity theory [41,42].…”